Cumulative Review Exercises (Chapters P–4)

  1. 1. x-intercept: 0; y-intercepts: 0, 2; symmetric about y-axis

  2. 3. Center: (1, 2); radius: 5

  3. 5. (,3)(2, )

  4. 7. Start with y=x, shift 1 unit left, stretch vertically by a factor of 3, and shift 2 units down.

  5. 9.

    1. Yes, f1(x)=(x12)1/3

    2. No

    3. Yes, f1(x)=ex

  6. 11.

    1. (x1)(x2)(x+3)=x37x+6

    2. x41

  7. 13.

    1. log xy

    2. ln x3y2

  8. 15.

    1. {3}

    2. {1, 3}

    3. 3.77

  9. 17.

    1. 1, 1, 1,2,2, 3

    2. At x=1 and x=3, the graph crosses the x-axis. At x=2, the graph touches but does not cross the x-axis.

    3. f(x) as x ; f(x)  as x 

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